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Finding the Fourth Proportional to 1,023.64, 1,535.55 and 330.37

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Solution

The fourth proportional to 1,023.64, 1,535.55 and 330.37 is: 495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.64 : 1,535.55 = 330.37 : x
  2. Step 2: Convert to fraction form
    1,023.64/1,535.55 = 330.37/x
  3. Step 3: Cross multiply
    1,023.64x = 1,535.55 × 330.37
  4. Step 4: Simplify right side
    1,023.64x = 507,299.65
  5. Step 5: Solve for x
    x = 507,299.65/1,023.64
  6. Step 6: Final answer
    x = 495.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.